Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₄²

Direct product G=N×Q with N=C₂³ and Q=C₄²

		d	ρ	Label	ID
C₂³×C₄²		128		C2^3xC4^2	128,2150

Semidirect products G=N:Q with N=C₂³ and Q=C₄²

extension	φ:Q→Aut N	d	Label	ID
C₂³⋊₁C₄² = C₄×C₂³⋊C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₂³	32	C2^3:1C4^2	128,486
C₂³⋊₂C₄² = C₂³⋊₂C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64	C2^3:2C4^2	128,169
C₂³⋊₃C₄² = C₂³⋊C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	32	C2^3:3C4^2	128,1005
C₂³⋊₄C₄² = C₂×C₄×C₂²⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64	C2^3:4C4^2	128,1000

Non-split extensions G=N.Q with N=C₂³ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁C₄² = C₂⁴.₅D₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₂³	32		C2^3.1C4^2	128,122
C₂³.₂C₄² = C₂³.₂C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₂³	32	4	C2^3.2C4^2	128,123
C₂³.₃C₄² = C₂³.₃C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₂³	32	4	C2^3.3C4^2	128,124
C₂³.₄C₄² = C₄×C₄.D₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₂³	32		C2^3.4C4^2	128,487
C₂³.₅C₄² = C₂³.₅C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₂³	32	4	C2^3.5C4^2	128,489
C₂³.₆C₄² = C₂⁴.₄Q₈	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	16		C2^3.6C4^2	128,36
C₂³.₇C₄² = C₂³.C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	32		C2^3.7C4^2	128,37
C₂³.₈C₄² = C₂³.₈C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	32		C2^3.8C4^2	128,38
C₂³.₉C₄² = C₄².₃₀D₄	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64		C2^3.9C4^2	128,39
C₂³.₁₀C₄² = C₄².₃₁D₄	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64		C2^3.10C4^2	128,40
C₂³.₁₁C₄² = C₄².₃₂D₄	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64		C2^3.11C4^2	128,41
C₂³.₁₂C₄² = C₈²⋊₁₅C₂	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64		C2^3.12C4^2	128,185
C₂³.₁₃C₄² = C₈²⋊₂C₂	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64		C2^3.13C4^2	128,186
C₂³.₁₄C₄² = C₈⋊₆M₄(2)	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64		C2^3.14C4^2	128,187
C₂³.₁₅C₄² = C₂³.₁₅C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	32		C2^3.15C4^2	128,474
C₂³.₁₆C₄² = C₄².₃₇₉D₄	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64		C2^3.16C4^2	128,482
C₂³.₁₇C₄² = C₂³.₁₇C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	64		C2^3.17C4^2	128,485
C₂³.₁₈C₄² = M₄(2)○₂M₄(2)	φ: C₄²/C₂² → C₂² ⊆ Aut C₂³	32		C2^3.18C4^2	128,1605
C₂³.₁₉C₄² = C₂³.₁₉C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.19C4^2	128,12
C₂³.₂₀C₄² = C₄².₂Q₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.20C4^2	128,13
C₂³.₂₁C₄² = C₂³.₂₁C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	32		C2^3.21C4^2	128,14
C₂³.₂₂C₄² = C₄².₃Q₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.22C4^2	128,15
C₂³.₂₃C₄² = C₂⁴.₁₇Q₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.23C4^2	128,165
C₂³.₂₄C₄² = C₈×M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.24C4^2	128,181
C₂³.₂₅C₄² = C₈²⋊C₂	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.25C4^2	128,182
C₂³.₂₆C₄² = C₈⋊₉M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.26C4^2	128,183
C₂³.₂₇C₄² = C₂³.₂₇C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.27C4^2	128,184
C₂³.₂₈C₄² = C₂³.₂₈C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.28C4^2	128,460
C₂³.₂₉C₄² = C₂³.₂₉C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.29C4^2	128,461
C₂³.₃₀C₄² = C₂×C₂³.₉D₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	32		C2^3.30C4^2	128,471
C₂³.₃₁C₄² = C₂×C₂².C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.31C4^2	128,473
C₂³.₃₂C₄² = C₂×M₄(2)⋊₄C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	32		C2^3.32C4^2	128,475
C₂³.₃₃C₄² = C₄×C₂²⋊C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.33C4^2	128,480
C₂³.₃₄C₄² = C₄².₃₇₈D₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.34C4^2	128,481
C₂³.₃₅C₄² = C₈×C₂²⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.35C4^2	128,483
C₂³.₃₆C₄² = C₂³.₃₆C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.36C4^2	128,484
C₂³.₃₇C₄² = C₂×C₄×M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.37C4^2	128,1603
C₂³.₃₈C₄² = C₂×C₈○₂M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂³	64		C2^3.38C4^2	128,1604
C₂³.₃₉C₄² = C₂.C₈²	central extension (φ=1)	128		C2^3.39C4^2	128,5
C₂³.₄₀C₄² = C₂×C₈⋊C₈	central extension (φ=1)	128		C2^3.40C4^2	128,180
C₂³.₄₁C₄² = C₂×C₂².₇C₄²	central extension (φ=1)	128		C2^3.41C4^2	128,459
C₂³.₄₂C₄² = C₂²×C₂.C₄²	central extension (φ=1)	128		C2^3.42C4^2	128,998
C₂³.₄₃C₄² = C₂²×C₈⋊C₄	central extension (φ=1)	128		C2^3.43C4^2	128,1602

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Extensions 1→N→G→Q→1 with N=C23 and Q=C42

Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₄²